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Finding the Fourth Proportional to 828,899,644.74, 1,144,397,744.01 and 527,654,929.50

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Solution

The fourth proportional to 828,899,644.74, 1,144,397,744.01 and 527,654,929.50 is: 728,492,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,899,644.74 : 1,144,397,744.01 = 527,654,929.50 : x
  2. Step 2: Convert to fraction form
    828,899,644.74/1,144,397,744.01 = 527,654,929.50/x
  3. Step 3: Cross multiply
    828,899,644.74x = 1,144,397,744.01 × 527,654,929.50
  4. Step 4: Simplify right side
    828,899,644.74x = 603,847,110,935,555,584
  5. Step 5: Solve for x
    x = 603,847,110,935,555,584/828,899,644.74
  6. Step 6: Final answer
    x = 728,492,423.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.